2. Order the following decimals from least to greatest.
0.439
0.394
0.441
0.531
0.342

Answer:

Step-by-step explanation:

a) As the function is a quadratic you could restrict the domain by taking only values either side of the line x = 3. This means the domain will be

a) 3<x<∞

Or

b) -∞<x<3

b) the graph is attached below.

c) The equation of the inverse of f(x) can be found by switching x and y:

X = (y-3)²

√x = y - 3

y = √x + 3

However this takes in positive and negative values of the square root function. So in order to restrict this, we can take the positive square root only.

Thus y = +√x + 3

Answer:

-1.5

Step-by-step explanation:

The gradient of a line can be found using the formula:

gradient = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

So for the line that passes through (3, 7) and (1, 10), the gradient can be found as:

gradient = (10 - 7) / (1 - 3)

gradient = 3 / -2

gradient = -1.5

So the gradient of the line that passes through (3, 7) and (1, 10) is -1.5.

The equation which is used to find the number of chocolates candy in the jar is given by 18 + 24 + 19 + n = 82 , the number of chocolate candy in the jar is equal to 21.

Number of strawberry candy in the jar = 18

Number of cherry candy in the jar = 24

Number of lime flavored candies = 19

Let 'n' be the number of chocolate candy in the jar

Total number of candy in the jar = 82

Equation used to represent the given condition is :

18 + 24 + 19 + n = 82

⇒ 61 + n = 82

⇒ n = 82 - 61

⇒ n = 21

Therefore, the equation required to represent the number of chocolate candy is 18 + 24 + 19 + n = 82 and the value of n is equal to 21.

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Answer:

  (x, y) = (3.4, -0.2)

Step-by-step explanation:

You want a graphical solution for the system of equations ...

The graph and solution are shown in the attachment. A graphing calculator is a nice bit of useful technology for this. The solution is ...

  (x, y) = (3.4, -0.2)

The first line has x-intercept 3 and y-intercept 1.5.

The second line has y-intercept -7 and slope 2. It crosses the x-axis at x=3.5, so will cross the first line in the 4th quadrant.

The number of sides the polygon have 9.

A vertex is a point on a polygon where two rays or line segments meet, the sides, or the edges of the object come together. Vertex is the plural form of vertices.

Given:

We have a polygon can be divided into 5 triangles when the diagonals are drawn from one of its vertices.

As, we know  the number of triangles in a polygon is  = n−2

where n is the number of sides (or vertices)

So, the number of sides the polygon have

n= 5+ 2

n = 7 sides

Thus, the polygon is Heptagon.

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The value of variables x and y are,

⇒ x = 80°

⇒ y = 130°

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, A parallelogram is forming here,

Then, Opposite angels are going to be equal.

Thus, We get;

⇒ y = (x + 50)°

Now, As you know that sum of all angles of a quadrilateral equals 360°

Hence, We get;

2 {(x + 50) + (x - 30)} = 360°

(x + 50) + (x - 30) = 180°

2x + 20 = 180

2x = 160

x = 80°

So, We get;

⇒ y = (x+50)

      = 80 +50

      = 130°

And,

⇒ x = 80°

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The growth factor of a 2% decrease is 0.98.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The growth factor of 2% decreased.

This means,

100% - 2%

= 98%

= 98/100

= 0.98

Thus,

0.98 is the growth factor of a 2% decrease.

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The ordered pairs (21, 0) and (6, -4) are the solutions to the given inequality.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is y<2/7x-5.

Here,

Put (x, y)=(21, 0) in the given inequality, we get

0<2/7(21)-5

0<1

So, it is solution

Put (x, y)=(6, -4) in the given inequality, we get

-4<2/7(6)-5

-4<12/7-5

-4<1.7-5

-4<-3.3

So, it is solution

Put (x, y)=(0, -5) in the given inequality, we get

-5<2/7(0)-5

-5<-5

Which is not true, it is not a solution

Put (x, y)=(7, -3) in the given inequality, we get

-3<2/7(7)-5

-3<-3

Which is not true, it is not a solution

Therefore, the ordered pairs (21, 0) and (6, -4) are the solutions to the given inequality.

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The options that represent an amount and price of gas that Pedro purchased are 19 gallons of gas for $52.25, 16 gallons of gas for $44. So options C and D are correct.

To calculate the amount of gas and the total price that Pedro purchased, we need to use the formula:

Price = Cost per gallon * Number of gallons

Dividing the total price by the cost per gallon will give us the number of gallons purchased. We can then compare this with the given options to see which one(s) match.

Using the given cost per gallon of $2.75, we can check each option:

a) 13.75 gallons of gas for $41.25

Price = $2.75/gallon * 13.75 gallons = $37.81

This option does not match the total price of $41.25, so it is not correct.

b) 22 gallons of gas for $71.5

Price = $2.75/gallon * 22 gallons = $60.50

This option does not match the total price of $71.5, so it is not correct.

c) 19 gallons of gas for $52.25

Price = $2.75/gallon * 19 gallons = $52.25

This option matches the total price of $52.25, so it is correct.

d) 16 gallons of gas for $44

Price = $2.75/gallon * 16 gallons = $44

This option matches the total price of $44, so it is correct.

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Complete question is:

Pedro fills up his truck with gas he paid $2.75 a gallon which of these represents an amount and price of gas that Pedro purchased select all that apply.

a) 13.75 gallons of gas for $41.25

b) 22 gallons of gas for $71.5

c) 19 gallons of gas for $52.25

d) 16 gallons of gas for $44

A system of equations that could be used to find the length (in hours) of each type of workout

7a + 9b = 12

5a + 3b = 6

Solve this system of equations by multiplying both sides of one of the equation so that when the equations are added or subtracted there will only be one variable.

-I will multiply both sides of the 2nd equation by -3

-3*(5a + 3b) = 6*-3

-15a - 9b = -18

-Now I will get rid of the variable b by adding the two equations together.

      7a + 9b = 12

+   -15a - 9b = -18

     -8a = -6

a = -6/-8

a= 3/4 (45 minutes)

-Now plug 3/4 into one of the original equations as a to solve for b.

-I will use the 2nd original equation.

5a + 3b = 6

5(3/4) + 3b = 6

15/4 + 3b = 6

3b = 9/4

b = 9/12 = 3/4 (45 minutes)

Both workout plans last the same amount of time.

Plan A lasts 45 minutes.

Plan B lasts 45 minutes.

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Answer:

6.9x10^20

Step-by-step explanation:

688588478685758486759+2345678909876545355=

6.90934158E20

Answer: The Number is 24.

Step-by-step explanation:
1) Set unknown number to a variable (I'm going to do x).
2) Set up equation: 5x = 120.

3) Simplify by dividing both sides by 5: 5x/5 = 120/5 = 24.

The number of patients that waited for more than 20 minutes is 74

The median waiting time is 17

From the question, we have the following parameters that can be used in our computation:

The graph

Where

x = Waiting time

y = Cumulative frequency

This means that

y = Number of patients that waited x or more time

From the graph, we have

(x, y = (20, 74)

So, the number of patients is 74

From the question, we have the following parameters that can be used in our computation:

Maximum CF = 100

Divide by 2 to calculate the median

Median = 100/2

Evaluate

Median = 50

From the graph, we have

(x, y = (50, 17)

So, the median is 17

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The volume of the cylinder is approximately 1413.7 cubic centimeters.

The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height or length of the cylinder.

Since the base of the cylinder has a diameter of 9cm, the radius is half of that, or r = 4.5cm.

The length of the cylinder is given as 20cm.

Therefore, the volume of the cylinder is:

V = πr²h

= π(4.5)²(20)

= 1413.72 cubic centimeters (rounded to 1 decimal place)

Thus, the volume of the cylinder is approximately 1413.7 cubic centimeters.

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Complete question:

Calculate the volume of this cylinder. give your answer to 1 decimal place. Base is 9cm. Length is 20cm.

The circumference of a circle with a diameter of 26 feet is approximately 81.64 feet.

What is the circumference?

The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its center. A meridian is any great circle passing through a point designated as a pole.

The formula for the circumference of a circle is 2 * π * r, where r is the radius of the circle.

To find the circumference, we first need to find the radius of the circle.

The diameter of the circle is 26 feet, so the radius can be calculated by dividing the diameter by 2:

r = 26 feet / 2 = 13 feet

Now that we know the radius, we can find the circumference:

C = 2 * π * r = 2 * 3.14 * 13 = 81.64 feet

Therefore, the circumference of a circle with a diameter of 26 feet is approximately 81.64 feet.

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Answer:

3

Step-by-step explanation:

Slope = rise/ run    = change in y  / change in x  = 3 / 1 = 3

  this is VERY necessary in all of the engineering and physics worlds of which you have yet to be acquainted...... these fields enable you to have a smart phone, a car, a bank account, a computer , rockets etc.

Answer:

Step-by-step explanation:

135°

Quite commonly, azimuths or compass bearings are stated in a system in which either north or south can be the zero, and the angle may be measured clockwise or anticlockwise from the zero.

The required formula that describes the given variation is F = 1.6d².

The general formula to describe the variation that F is directly proportional to the square of d is F = kd²,

where k is a constant of proportionality.

To determine the value of k, we can use the given information that F = 40 when d = 5:

40 = k(5)²

40 = 25k

k = 40/25

k = 1.6

Substituting this value of k into the general formula, we get:

F = 1.6d²

Therefore, the formula that describes the variation is F = 1.6d².

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Answer:

no sisiejdirjr diendieje jdisjeidi

Answer:

awnser is b

Step-by-step explanation:

eg 2023 ........................................

Answer:

70%

Step-by-step explanation:

The probability of 3 students arriving at a randomly selected office hour is 0.27(27%). This can be calculated by using the Poisson distribution equation which is P(x)=e^(-λ)*(λ^x/x!).

In the above equation, λ is equal to the average number of arrivals which is 3.3. Plugging these values into the equation gives us  P(3)= e^(-3.3)*(3.3^3/3!) = 0.27, this means that the probability of 3 students arriving in randomly selected office hours is 0.27.The Poisson distribution is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space. It is commonly used in engineering, economics, and other fields.

This equation is especially useful in situations like this one where the arrival rate is known and the probability of a certain number of arrivals needs to be determined.

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A statistics professor finds that when she schedules an office hour for student help, an average of 3.3 students arrive. Find the probability that in a randomly selected office hour, the number of student arrivals is 3.

Answer:

a. Let's call the average ticket price for Dallas in 2005 as "d" and the average ticket price for Boston in 2005 as "b". Then the system of equations can be written as:

y_d = d + 0.53x (where y_d represents the price of an average ticket for Dallas after x years)

y_b = b - 1.08x (where y_b represents the price of an average ticket for Boston after x years)

b. To find the number of years in which the average ticket price for Dallas will approximately equal that of Boston, we need to solve the equation y_d = y_b for x. Plugging in the equations for y_d and y_b, we get:

d + 0.53x = b - 1.08x

Rearranging and solving for x, we have:

1.61x = b - d

x = (b - d) / 1.61

Now we just need to plug in the values for d and b from the table:

d = 53.60

b = 55.93

x = (55.93 - 53.60) / 1.61 = 2.33 years

So it will take approximately 2.33 years for the average ticket price for Dallas to approximately equal that of Boston.

Step-by-step explanation:

Answer: a. Let x be the number of years after 2005, and y be the price of an average ticket. Then, we can write the following system of equations to represent the information in the table:

For Dallas:

y = 53.60 + 0.53x

For Boston:

y = 55.93 - 1.08x

This system of equations represents the average ticket price y for Dallas and Boston as a function of the number of years x after 2005, with the change in price from the 2004 season to the 2005 season given in the table.

b. To find the number of years when the average ticket price for Dallas will approximately equal that of Boston, we can set the two equations equal to each other and solve for x:

53.60 + 0.53x = 55.93 - 1.08x

2.33x = 2.33

x = 1

So, the average ticket price for Dallas and Boston will approximately equal each other after 1 year. Therefore, in 2006, the average ticket price for Dallas will approximately equal that of Boston.

Step-by-step explanation:

−2 is located to the right of −4 on a horizontal number line because −2>−4. Therefore, option C is the correct answer.

A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.

Given that, -2 and -4 is located on number line.

Negative integers on the number line located left to zero.

If the greater integer with negative sign and go farther on left of 0 on number line, the value of integers decreases.

Therefore, option C is the correct answer.

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The number of hours that the prices of the two stocks be the​ same will be 4 hours.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

Let 'x' be the number of hours and 'y' be the price of stocks. Then the equations are written as,

y = 13.52 + 0.05x           ...1

y = 14.27 - 0.14x             ...2

From equations 1 and 2, then we have

13.52 + 0.05x = 14.27 - 0.14x

0.14x + 0.05x = 14.27 - 13.52

0.19x = 0.75

x = 3.947 ≈ 4 hours

The number of hours that the prices of the two stocks be the​ same will be 4 hours.

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The probability that a randomly chosen physical therapist does not use the gym membership given that they bring their lunch to work is 2/3, in simplest form.

The table shows the information about the gym membership and lunch habits of 100 physical therapists.

Given that a physical therapist brings their lunch to work, we can use the information in the table to calculate the probability that they do not use the gym membership. To do this, we'll use the formula:

P(not using gym membership | brings lunch) = P(not using gym membership and brings lunch) / P(brings lunch)

We can use the information in the table to find the values of P(not using gym membership and brings lunch) and P(brings lunch).

P(not using gym membership and brings lunch) = 40/100 = 2/5

P(brings lunch) = 60/100 = 3/5

So, the probability that a randomly chosen physical therapist does not use the gym membership given that they bring their lunch to work is:

P(not using gym membership | brings lunch) = P(not using gym membership and brings lunch) / P(brings lunch) = (2/5) / (3/5) = 2/3

Therefore, the probability that a randomly chosen physical therapist does not use the gym membership given that they bring their lunch to work is 2/3, in simplest form.

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Volume of the composite shape is =  114 ft³

Volume is a measure of three-dimensional space.

A composite shape can be defines as a shape created with two or more basic shapes. We often refer to composite shapes as compound and complex shapes as well.

Now, According to the question:

The shape above shows two cuboid joined together.

Volume of the base cuboid = lbh

= 6×3×1 = 18ft³

Volume of the second cuboid = lbh

= 4×3×8 = 96 ft³

Volume of the composite shape = 18ft³ + 96ft³

= 114 ft³

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A general formula to describe is F = 1.6×d² will be correct answer.

A relationship is considered proportional if the ratio remains constant. For instance, the average number of apples produced per tree is a measure of proportionality, and the number of trees in an orchard is inversely related to the number of apples produced in a harvest. When two quantities are proportionate with one another, then expand and contract at the same pace, keeping the relationship constant.

Finding the general formula we obtain:

F=kd²

40=k×5²

k=1.6

so, F =1.6×d².

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